What is the Greatest Common Factor of 6156 and 6174?

Greatest common factor (GCF) of 6156 and 6174 is 18.

GCF(6156,6174) = 18

We will now calculate the prime factors of 6156 and 6174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6156 and 6174.

How to find the GCF of 6156 and 6174?

We will first find the prime factorization of 6156 and 6174. After we will calculate the factors of 6156 and 6174 and find the biggest common factor number .

Step-1: Prime Factorization of 6156

Prime factors of 6156 are 2, 3, 19. Prime factorization of 6156 in exponential form is:

6156 = 2² × 3⁴ × 19¹

Step-2: Prime Factorization of 6174

Prime factors of 6174 are 2, 3, 7. Prime factorization of 6174 in exponential form is:

6174 = 2¹ × 3² × 7³

Step-3: Factors of 6156

List of positive integer factors of 6156 that divides 6156 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078

Step-4: Factors of 6174

List of positive integer factors of 6174 that divides 6156 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6156 and 6174. The biggest common factor number is the GCF number.
So the greatest common factor 6156 and 6174 is 18.

Also check out the Least Common Multiple of 6156 and 6174